Interface Regularity of the Solutions to Maxwell Systems on Riemannian Manifolds

Abstract

In this paper we study the interface regularity of the solutions to the differential systems defined by differential forms (for example, stationary Maxwell systems) on $N(\geq 3)$-dimensional Riemannian manifolds. Our results are natural extensions of the results of \textit{Interface regularity of the solutions for the rotation free and the divergence free systems} and \textit{Interface vanishing for solutions to Maxwell and Stokes systems}.